Quantum Mechanical Modelling and Optical Spectroscopy of
... involving these particles. The magnitude of this uncertainty is given by the Heisenberg uncertainty principle δxδp ≥ h̄/2 ...
... involving these particles. The magnitude of this uncertainty is given by the Heisenberg uncertainty principle δxδp ≥ h̄/2 ...
Consequences and Limits of Nonlocal Strategies
... problems solved by O(nc)-size quantum circuits that err with probability ¼ • PSPACE (polynomial space): problems solved by algorithms that use O(nc) memory. ...
... problems solved by O(nc)-size quantum circuits that err with probability ¼ • PSPACE (polynomial space): problems solved by algorithms that use O(nc) memory. ...
The Strong Free Will Theorem
... Quantum mechanics predicts this axiom since for for a spin 1 particle the squared spin operators s2x , s2y , s2z commute and have sum 2. This “101 property” is paradoxical because it already implies that the quantity that is supposedly being measured cannot in fact exist before its “measurement.” Fo ...
... Quantum mechanics predicts this axiom since for for a spin 1 particle the squared spin operators s2x , s2y , s2z commute and have sum 2. This “101 property” is paradoxical because it already implies that the quantity that is supposedly being measured cannot in fact exist before its “measurement.” Fo ...
Chapter 3 Foundations II: Measurement and Evolution 3.1
... (ψiT )a in an n-dimensional space. Then eq. (3.28) becomes the statement that these N vectors form an orthonormal set. Naturally, it is possible to extend these vectors to an orthonormal basis for an n-dimensional space. In other words, there is an n × n matrix uai , with uai = ψ̃ai for i = 1, 2, . ...
... (ψiT )a in an n-dimensional space. Then eq. (3.28) becomes the statement that these N vectors form an orthonormal set. Naturally, it is possible to extend these vectors to an orthonormal basis for an n-dimensional space. In other words, there is an n × n matrix uai , with uai = ψ̃ai for i = 1, 2, . ...
Adding quantum effects to the semi-classical molecular
... where, for simplicity, one-dimension position and momentum vectors are assumed in the above derivation. Generalization to multi-dimensional case is straight-forward as shown in the next section. The one-dimensional TBF ! i (R; Ri , Pi , " i , # ) is defined by (3). Therefore, one can evaluate the ma ...
... where, for simplicity, one-dimension position and momentum vectors are assumed in the above derivation. Generalization to multi-dimensional case is straight-forward as shown in the next section. The one-dimensional TBF ! i (R; Ri , Pi , " i , # ) is defined by (3). Therefore, one can evaluate the ma ...
quantum few-body physics with the configuration interaction
... Popular summary of the thesis In the research I have participated in, one investigates various physical effects which may appear in systems with interacting quantum mechanical particles. Some of the results are described below, but first a short physics background is given. Quantum physics and man ...
... Popular summary of the thesis In the research I have participated in, one investigates various physical effects which may appear in systems with interacting quantum mechanical particles. Some of the results are described below, but first a short physics background is given. Quantum physics and man ...
Solving Critical Section problem in Distributed system by Entangled Quantum bits
... 2.3. Token Ring Algorithm In this algorithm, a completely different approach to achieving mutual exclusion in a distributed system is introduced. Here we have a specific network topology with no inherent ordering of the processes. In software, a logical ring is constructed in which each process is a ...
... 2.3. Token Ring Algorithm In this algorithm, a completely different approach to achieving mutual exclusion in a distributed system is introduced. Here we have a specific network topology with no inherent ordering of the processes. In software, a logical ring is constructed in which each process is a ...
IOSR Journal of Mathematics (IOSR-JM)
... „wave‟ adequately conveys the true nature of a basic quantum entity, but both provide useful partial pictures. The laws governing these sub-microscopic quantum entities differ from those governing our everyday classical world. For example, quantum particle can exist in two or more states or location ...
... „wave‟ adequately conveys the true nature of a basic quantum entity, but both provide useful partial pictures. The laws governing these sub-microscopic quantum entities differ from those governing our everyday classical world. For example, quantum particle can exist in two or more states or location ...
Quantum Field Theory II
... If there were no counterterms we would be done: in that case, the vacuum expectation value of the field is: ...
... If there were no counterterms we would be done: in that case, the vacuum expectation value of the field is: ...
High-order impulse approximation for calculating pulsed-field recombination F. Robicheaux
... lower principal quantum numbers than might be expected. Although classical methods should be accurate in many cases, quantum calculations should also be performed whenever possible. If both types of calculations are possible, this provides a double check on the theory since a quantum calculation doe ...
... lower principal quantum numbers than might be expected. Although classical methods should be accurate in many cases, quantum calculations should also be performed whenever possible. If both types of calculations are possible, this provides a double check on the theory since a quantum calculation doe ...
A Factor-Graph Representation of Probabilities in Quantum Mechanics
... probabilities in quantum mechanics are quite ordinary, but their state-space representation is of a type not previously used in statistical modeling. In particular, we propose a factor-graph representation of quantum mechanics that correctly represents the joint probability distribution of any numbe ...
... probabilities in quantum mechanics are quite ordinary, but their state-space representation is of a type not previously used in statistical modeling. In particular, we propose a factor-graph representation of quantum mechanics that correctly represents the joint probability distribution of any numbe ...
Electron transmission through 1D mesoscopic structures
... reduces the amplitude of the Aharonov-Bohm (AB) oscillations of the electron transmission due to occurrence of spin-flip events [3]. The coupling between electron and impurity spins is usually modeled via the exchange interaction and thus spin-flip can occur when the spins are initially antialigned. ...
... reduces the amplitude of the Aharonov-Bohm (AB) oscillations of the electron transmission due to occurrence of spin-flip events [3]. The coupling between electron and impurity spins is usually modeled via the exchange interaction and thus spin-flip can occur when the spins are initially antialigned. ...